package ThirtyThirdDay;

public class UniquePaths {
    public static void main(String[] args) {
        System.out.println(uniquePaths(3,7));
    }
    public static int uniquePaths(int m, int n) {
        if (m == 1 || n == 1){
            return 1;
        }
        int[][] paths = new int[m][n];
        for (int i = 0; i < m; i++) {
            paths[i][0] = 1;
        }
        for (int i = 0; i < n; i++) {
            paths[0][i] = 1;
        }
        for (int i = 1; i < m; i++) {
            for (int j = 1; j < n; j++) {
                paths[i][j] = paths[i - 1][j] + paths[i][j - 1];
            }
        }
        return paths[m - 1][n - 1];
    }
}
